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Finding the Third Proportional to 249,615 and 538,593

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Solution

The third proportional to 249,615 and 538,593 is: 1,162,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,615 : 538,593 = 538,593 : x
  2. Step 2: Convert to fraction form
    249,615/538,593 = 538,593/x
  3. Step 3: Cross multiply
    249,615x = 538,593 × 538,593
  4. Step 4: Simplify right side
    249,615x = 290,082,419,649
  5. Step 5: Solve for x
    x = 290,082,419,649/249,615
  6. Step 6: Final answer
    x = 1,162,119.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.